233785640 has 32 divisors (see below), whose sum is σ = 573838560. Its totient is φ = 85012800.

The previous prime is 233785577. The next prime is 233785681. The reversal of 233785640 is 46587332.

It is a super-3 number, since 3×233785640³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233785594 and 233785603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265226 + ... + 266105.

It is an arithmetic number, because the mean of its divisors is an integer number (17932455).

Almost surely, 2^233785640 is an apocalyptic number.

233785640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233785640 is an abundant number, since it is smaller than the sum of its proper divisors (340052920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233785640 is a wasteful number, since it uses less digits than its factorization.

233785640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531353 (or 531349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 233785640 is about 15290.0503596293. The cubic root of 233785640 is about 616.0357895100.

The spelling of 233785640 in words is "two hundred thirty-three million, seven hundred eighty-five thousand, six hundred forty".